dorsal/arxiv
View SchemaGeometric Quantum Computation on Solid-State Qubits
| Authors | Mahn-Soo Choi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111019 |
| URL | https://arxiv.org/abs/quant-ph/0111019 |
| DOI | 10.1088/0953-8984/15/46/001 |
| Journal | J. Phys.: Condens. Matt. 15 (46), 7823 (2003) |
Abstract
An adiabatic cyclic evolution of control parameters of a quantum system ends up with a holonomic operation on the system, determined entirely by the geometry in the parameter space. The operation is given either by a simple phase factor (a Berry phase) or a non-Abelian unitary operator depending on the degeneracy of the eigenspace of the Hamiltonian. Geometric quantum computation is a scheme to use such holonomic operations rather than the conventional dynamic operations to manipulate quantum states for quantum information processing. Here we propose a geometric quantum computation scheme which can be realized with current technology on nanoscale Josephson-junction networks, known as a promising candidate for solid-state quantum computer.
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"abstract": "An adiabatic cyclic evolution of control parameters of a quantum system ends\nup with a holonomic operation on the system, determined entirely by the\ngeometry in the parameter space. The operation is given either by a simple\nphase factor (a Berry phase) or a non-Abelian unitary operator depending on the\ndegeneracy of the eigenspace of the Hamiltonian. Geometric quantum computation\nis a scheme to use such holonomic operations rather than the conventional\ndynamic operations to manipulate quantum states for quantum information\nprocessing. Here we propose a geometric quantum computation scheme which can be\nrealized with current technology on nanoscale Josephson-junction networks,\nknown as a promising candidate for solid-state quantum computer.",
"arxiv_id": "quant-ph/0111019",
"authors": [
"Mahn-Soo Choi"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1088/0953-8984/15/46/001",
"journal_ref": "J. Phys.: Condens. Matt. 15 (46), 7823 (2003)",
"title": "Geometric Quantum Computation on Solid-State Qubits",
"url": "https://arxiv.org/abs/quant-ph/0111019"
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